Finding the Third Proportional to 172,920 and 233,131

Step by Step Solution

1. Step 1: Write the proportion equation
   172,920 : 233,131 = 233,131 : x
2. Step 2: Convert to fraction form
   172,920/233,131 = 233,131/x
3. Step 3: Cross multiply
   172,920x = 233,131 × 233,131
4. Step 4: Simplify right side
   172,920x = 54,350,063,161
5. Step 5: Solve for x
   x = 54,350,063,161/172,920
6. Step 6: Final answer
   x = 314,307.56